New infrageneric taxa are diagnosed and their names typified, while brief digests in English are given for established taxa. Three species of the former genus Angophora have names with epithets preoccupied by names of other Eucalyptus species and new names are presented for them. The study is introduced by a brief historical summary of previous work in Eucalyptus, an apologia for the inclusion of Angophora, the reason for requirement of a new classification and notes on the nomenclature used. A new infrageneric rank, ‘supraspecies’, is introduced and is intentionally divorced in application (as a rank) from the similar sounding ‘superspecies’. All species recognised by the author are named and assigned in this system.